In this paper, based on a suitable generalization of the coherence principle of de Finetti, we consider imprecise probability assessments on finite families of conditional events and we study the problem of their extension. Then, we extend some theoretical results and an algorithm, previously obtained for precise assessments, to the case of imprecise assessments and we propose a generalized version of the fundamental theorem of de Finetti. Our algorithm can be also exploited to produce coherent lower and upper probabilities. Moreover, we compare our approach to similar ones, like probability logic. Finally, we apply our algorithm to some well known inference rules under taxonomical knowledge.

A generalization of the fundamental theorem of de Finetti for imprecise conditional probability assessments / Biazzo, V; Gilio, Angelo. - STAMPA. - (1999), pp. 34-43.

A generalization of the fundamental theorem of de Finetti for imprecise conditional probability assessments

GILIO, ANGELO
1999

Abstract

In this paper, based on a suitable generalization of the coherence principle of de Finetti, we consider imprecise probability assessments on finite families of conditional events and we study the problem of their extension. Then, we extend some theoretical results and an algorithm, previously obtained for precise assessments, to the case of imprecise assessments and we propose a generalized version of the fundamental theorem of de Finetti. Our algorithm can be also exploited to produce coherent lower and upper probabilities. Moreover, we compare our approach to similar ones, like probability logic. Finally, we apply our algorithm to some well known inference rules under taxonomical knowledge.
Conditional events; imprecise probabilities; generalized coherence; natural extension; Algorithms; probability logic; probabilistic deduction; probabilistic satisfiability.
04 Pubblicazione in atti di convegno::04b Atto di convegno in volume
A generalization of the fundamental theorem of de Finetti for imprecise conditional probability assessments / Biazzo, V; Gilio, Angelo. - STAMPA. - (1999), pp. 34-43.
File allegati a questo prodotto
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/215831
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact